Determine a particular solution for the differential equation of the form, y p ( x ) = A 0 e − 3 x . Also find the general solution to the differential equation, y ′ ′ ′ + y ′ ′ − 10 y ′ + 8 y = 24 e − 3 x .
Determine a particular solution for the differential equation of the form, y p ( x ) = A 0 e − 3 x . Also find the general solution to the differential equation, y ′ ′ ′ + y ′ ′ − 10 y ′ + 8 y = 24 e − 3 x .
Solution Summary: The author explains how to determine the particular and general solution to the given differential equation.
Determine a particular solution for the differential equation of the form,
y
p
(
x
)
=
A
0
e
−
3
x
.
Also find the general solution to the differential equation,
y
′
′
′
+
y
′
′
−
10
y
′
+
8
y
=
24
e
−
3
x
.
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY